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Q. The chloride of a metal contains $71\% $ chlorine by weight and the vapour density of it is $50$. The atomic weigh of the metal will be:

NTA AbhyasNTA Abhyas 2020Some Basic Concepts of Chemistry

Solution:

Mol. wt. of metal chloride $=50 \times 2=100$
Let metal chloride be metal chlorine then
Equivalent of metal = Equivalents of chlorine
$=\frac{ W _{ m }}{ E _{ m }}=\frac{ W _{ Cl }}{ E _{ Cl }}$ or $\frac{29}{ E }=\frac{71}{35.5}$
$E=\frac{29}{2}$
Now $a+35.5 n=100$
or $n \times E +35 \times 5 n =100$
$\therefore n=2$
Therefore, $a=2 \times E=2 \times\left(\frac{29}{2}\right)=29$